38826303709440 has 1152 divisors, whose sum is σ = 141822895915008. Its totient is φ = 8980518666240.

The previous prime is 38826303709439. The next prime is 38826303709447. The reversal of 38826303709440 is 4490730362883.

It is a super-2 number, since 2×38826303709440² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38826303709447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18392373985 + ... + 18392376095.

It is an arithmetic number, because the mean of its divisors is an integer number (123110152704).

Almost surely, 2^{38826303709440} is an apocalyptic number.

38826303709440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38826303709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70911447957504).

38826303709440 is an abundant number, since it is smaller than the sum of its proper divisors (102996592205568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38826303709440 is a wasteful number, since it uses less digits than its factorization.

38826303709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 38826303709440 in words is "thirty-eight trillion, eight hundred twenty-six billion, three hundred three million, seven hundred nine thousand, four hundred forty".